A Class Of Three Species Predator-prey Model With Holling-Ⅰ Type Functional Response

Paper introduces the research object and the background of this in the introduction. Thereafter, the first chapter introduces the basic model of population dynamics of several categories, including the single population model, the two groups model, the three group model. Among them, the three group model is based on two group types among populations formed by the interaction between two different combinations, in discussing it, although the two groups than the model complexity, but the basic rule of the mathematical model structure is the same, the text The fourth chapter will be one of a class of a class of predator and two are three predator predator be discussed. The second chapter describes the types of Holling type functional response, which Holling-I functional response function is the fourth chapter of the methodology applied, which describes the growth of some stocks to meet the linear increasing relationship, and growing The constant is a constant time rate reaches a certain peak. The third chapter discusses the fourth chapter in the use of some of the basic theory of Monte Carlo methods, including the definition of the grid, the concept of neighbors, as well as changes in the rules of the grid cycle boundary. Chapter IV established a Three predator-type work performance has Holling-I reaction model includes cats, rats and mice in addition to another type of cat prey. Consider cat predation rate by its surroundings quantity of rat, it was some positive correlation; growth model assumptions cats meet Holling-I type functional response. Under this assumption, the use of Monte Carlo simulation method, discussion and research in the case of predator predation rate changes, changes in the relationship between the number of three populations of the co-relation and equilibrium of the three populations.